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A contribution to the design and analysis of phase III clinical trials
(2013-11-08)Clinical trials are an established methodology for evaluation of the effects of a new medical treatment. These trials are usually divided into several phases, namely phase I through IV. The earlier phases (I and II) are ... -
A two-stage numerical procedure for an inverse scattering problem
(Chalmers University of Technology and University of Gothenburg, 2015)In this thesis we study a numerical procedure for the solution of the inverse problem of reconstructing location, shape and material properties (in particular refractive indices) of scatterers located in a known ... -
Asymptotics and dynamics in first-passage and continuum percolation
(2011-09-06)This thesis combines the study of asymptotic properties of percolation processes with various dynamical concepts. First-passage percolation is a model for the spatial propagation of a fluid on a discrete structure; the ... -
Combinatorics of solvable lattice models with a reflecting end
(2021-04-21)I den här avhandlingen studerar vi några exakt lösbara, kvantintegrerbara gittermodeller. Izergin bevisade en determinantformel för partitionsfunktionen till sexvertexmodellen på ett gitter av storlek n × n med Korepins ... -
Efficient Adaptive Algorithms for an Electromagnetic Coefficient Inverse Problem
(2017-06-08)This thesis comprises five scientific papers, all of which are focusing on the inverse problem of reconstructing a dielectric permittivity which may vary in space inside a given domain. The data for the reconstruction ... -
Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice
(2013-04-05)This thesis assembles two papers in mathematics and two papers in mathematics education. In the mathematics part, representation theory is practised. Two Clebsch-Gordan type problems are addressed. The original problem ... -
Extreme Value Analysis of Huge Datasets: Tail Estimation Methods in High-Throughput Screening and Bioinformatics
(2011-10-13)This thesis presents results in Extreme Value Theory with applications to High-Throughput Screening and Bioinformatics. The methods described here, however, are applicable to statistical analysis of huge datasets in general. ... -
Geometrical and percolative properties of spatially correlated models
(2020-03-10)This thesis consists of four papers dealing with phase transitions in various models of continuum percolation. These models exhibit complicated dependencies and are generated by different Poisson processes. For each such ... -
Global residue currents and the Ext functors
(2022-09-09)This thesis concerns developments in multivariable residue theory. In particular we consider global constructions of residue currents related to work by Andersson and Wulcan. In the first paper of this thesis, we consider ... -
Index theory in geometry and physics
(2011-04-06)This thesis contains three papers in the area of index theory and its applications in geometry and mathematical physics. These papers deal with the problems of calculating the charge deficiency on the Landau levels and ... -
Learning to solve problems that you have not learned to solve: Strategies in mathematical problem solving
(2019-08-16)This thesis aims to contribute to a deeper understanding of the relationship between problem-solving strategies and success in mathematical problem solving. In its introductory part, it pursues and describes the term ... -
Limit Theorems for Lattices and L-functions
This PhD thesis investigates distributional questions related to three types of objects: Unimodular lattices, symplectic lattices, and Hecke L-functions of imaginary quadratic number fields of class number 1. In Paper ... -
Mathematical Modelling of Cellular Ageing: a Multi-Scale Perspective
(2022-04-19)In a growing and increasingly older population, we are progressively challenged by the impact of ageing on individuals and society. The UN declared the years 2021-2030 as the Decade of Healthy Ageing, highlighting the ... -
Mathematical Reasoning - In physics and real-life context
(2015-05-05)This thesis is a compilation of four papers in which mathematical reasoning is examined in various contexts, in which mathematics is an integral part. It is known from previous studies that a focus on rote learning and ... -
Network modeling and integrative analysis of high-dimensional genomic data
(2020-05-07)Genomic data describe biological systems on the molecular level and are, due to the immense diversity of life, high-dimensional. Network modeling and integrative analysis are powerful methods to interpret genomic data. ... -
Okounkov bodies and geodesic rays in Kähler geoemtry
(2012-05-10)This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we construct a transform, called the Chebyshev transform, which maps continuous hermitian metrics on a big line bundle to ... -
On the mathematics of the one-dimensional Hegselmann-Krause model
(2022-01-19)This thesis contains three papers, which all in different ways concern the asymptotics of the Hegselmann-Krause model in opinion dynamics. In this model a set of conformist agents repeatedly and synchronously replace their ... -
Percolation: Inference and Applications in Hydrology
(2011-11-25)Percolation theory is a branch of probability theory describing connectedness in a stochastic network. The connectedness of a percolation process is governed by a few, typically one or two, parameters. A central theme ...